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NFA Automata help. Need answers ASAP. [CompSci]?
The game of Flips is played with THREE coins. Initially, they are all heads. A move consists of flipping two coins simultaneously from whatever they were to the opposite side.
For example, flipping the end coins changes THH into HHT.
We win when all three coins are tails.
There are 8 possible states.
HHH
HHT
HTH
THH
HTT
THT
TTH
TTT
The only - is HHH; the only + is TTT.
Draw this NFA, labeling any edge that can flip between states with the letter m.
Convert this NFA into a regular expression. Is m^3 or m^5 in the language of this machine?
The shortest word in this language is the shortest solution of this puzzle. What is it?
HELP PLEASE :(